My Lower Jaw is Not in Its Right Place After 2yrs of Braces. Am I a Candidate for Surgery?

Hi. My lower jaw is not in its right place after having 2 years braces . I mean when I eat It clicks from the inside causing my family to feel bad and grossed out from me , and even my lower lip looks a lot bigger it's like i have the spoiled sad look ...So my 2 questions are : 1) What is the name of the surgery that moves the lower jaw inside? 2)Am I a good candidate for the surgery? Please doctors can you Give links to before and after photos? Thank you so much. :)